Calculus of Variations and Geometric Measure Theory

Low energy $\alpha$-harmonic maps into the round sphere

Ben Sharp

created by malchiodi on 15 Sep 2024

18 sep 2024 -- 15:30   [open in google calendar]

SNS, Aula Volterra

Abstract.

We will show that all "low-energy" $\alpha$-harmonic maps from non-spherical Riemann surfaces to the round two-sphere are either uniformly regular and of degree one, or close to a simple bubble tree (and of degree $\pm 1$). In the latter case we will see that both the proximity of the bubble and its blow-up rate are fully determined by the holomorphic one-forms on the domain.